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Finding the Fourth Proportional to 238.24, 357.31 and 106.48

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Solution

The fourth proportional to 238.24, 357.31 and 106.48 is: 159.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    238.24 : 357.31 = 106.48 : x
  2. Step 2: Convert to fraction form
    238.24/357.31 = 106.48/x
  3. Step 3: Cross multiply
    238.24x = 357.31 × 106.48
  4. Step 4: Simplify right side
    238.24x = 38,046.95
  5. Step 5: Solve for x
    x = 38,046.95/238.24
  6. Step 6: Final answer
    x = 159.70

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.